Step-by-step explanation:
The above sequence is a geometric sequence
For an nth term in a geometric sequence
[tex] a(n) = a ({r})^{n - 1} [/tex]
where
n is the number of terms
a is the first term
r is the common ratio
From the question
a = 5
r = 10/5 = 2
Therefore the explicit formula for this sequence is
[tex]a(n) = 5( {2})^{n - 1} [/tex]
Hope this helps you
